| // This file is part of Eigen, a lightweight C++ template library |
| // for linear algebra. |
| // |
| // Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr> |
| // |
| // This Source Code Form is subject to the terms of the Mozilla |
| // Public License v. 2.0. If a copy of the MPL was not distributed |
| // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. |
| |
| #include "common.h" |
| |
| /** ZHEMV performs the matrix-vector operation |
| * |
| * y := alpha*A*x + beta*y, |
| * |
| * where alpha and beta are scalars, x and y are n element vectors and |
| * A is an n by n hermitian matrix. |
| */ |
| int EIGEN_BLAS_FUNC(hemv)(char *uplo, int *n, RealScalar *palpha, RealScalar *pa, int *lda, RealScalar *px, int *incx, RealScalar *pbeta, RealScalar *py, int *incy) |
| { |
| typedef void (*functype)(int, const Scalar*, int, const Scalar*, int, Scalar*, Scalar); |
| static functype func[2]; |
| |
| static bool init = false; |
| if(!init) |
| { |
| for(int k=0; k<2; ++k) |
| func[k] = 0; |
| |
| func[UP] = (internal::selfadjoint_matrix_vector_product<Scalar,int,ColMajor,Upper,false,false>::run); |
| func[LO] = (internal::selfadjoint_matrix_vector_product<Scalar,int,ColMajor,Lower,false,false>::run); |
| |
| init = true; |
| } |
| |
| Scalar* a = reinterpret_cast<Scalar*>(pa); |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| Scalar* y = reinterpret_cast<Scalar*>(py); |
| Scalar alpha = *reinterpret_cast<Scalar*>(palpha); |
| Scalar beta = *reinterpret_cast<Scalar*>(pbeta); |
| |
| // check arguments |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(*n<0) info = 2; |
| else if(*lda<std::max(1,*n)) info = 5; |
| else if(*incx==0) info = 7; |
| else if(*incy==0) info = 10; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"HEMV ",&info,6); |
| |
| if(*n==0) |
| return 1; |
| |
| Scalar* actual_x = get_compact_vector(x,*n,*incx); |
| Scalar* actual_y = get_compact_vector(y,*n,*incy); |
| |
| if(beta!=Scalar(1)) |
| { |
| if(beta==Scalar(0)) make_vector(actual_y, *n).setZero(); |
| else make_vector(actual_y, *n) *= beta; |
| } |
| |
| if(alpha!=Scalar(0)) |
| { |
| int code = UPLO(*uplo); |
| if(code>=2 || func[code]==0) |
| return 0; |
| |
| func[code](*n, a, *lda, actual_x, 1, actual_y, alpha); |
| } |
| |
| if(actual_x!=x) delete[] actual_x; |
| if(actual_y!=y) delete[] copy_back(actual_y,y,*n,*incy); |
| |
| return 1; |
| } |
| |
| /** ZHBMV performs the matrix-vector operation |
| * |
| * y := alpha*A*x + beta*y, |
| * |
| * where alpha and beta are scalars, x and y are n element vectors and |
| * A is an n by n hermitian band matrix, with k super-diagonals. |
| */ |
| // int EIGEN_BLAS_FUNC(hbmv)(char *uplo, int *n, int *k, RealScalar *alpha, RealScalar *a, int *lda, |
| // RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy) |
| // { |
| // return 1; |
| // } |
| |
| /** ZHPMV performs the matrix-vector operation |
| * |
| * y := alpha*A*x + beta*y, |
| * |
| * where alpha and beta are scalars, x and y are n element vectors and |
| * A is an n by n hermitian matrix, supplied in packed form. |
| */ |
| // int EIGEN_BLAS_FUNC(hpmv)(char *uplo, int *n, RealScalar *alpha, RealScalar *ap, RealScalar *x, int *incx, RealScalar *beta, RealScalar *y, int *incy) |
| // { |
| // return 1; |
| // } |
| |
| /** ZHPR performs the hermitian rank 1 operation |
| * |
| * A := alpha*x*conjg( x' ) + A, |
| * |
| * where alpha is a real scalar, x is an n element vector and A is an |
| * n by n hermitian matrix, supplied in packed form. |
| */ |
| int EIGEN_BLAS_FUNC(hpr)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *pap) |
| { |
| typedef void (*functype)(int, Scalar*, const Scalar*, RealScalar); |
| static functype func[2]; |
| |
| static bool init = false; |
| if(!init) |
| { |
| for(int k=0; k<2; ++k) |
| func[k] = 0; |
| |
| func[UP] = (internal::selfadjoint_packed_rank1_update<Scalar,int,ColMajor,Upper,false,Conj>::run); |
| func[LO] = (internal::selfadjoint_packed_rank1_update<Scalar,int,ColMajor,Lower,false,Conj>::run); |
| |
| init = true; |
| } |
| |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| Scalar* ap = reinterpret_cast<Scalar*>(pap); |
| RealScalar alpha = *palpha; |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(*n<0) info = 2; |
| else if(*incx==0) info = 5; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"HPR ",&info,6); |
| |
| if(alpha==Scalar(0)) |
| return 1; |
| |
| Scalar* x_cpy = get_compact_vector(x, *n, *incx); |
| |
| int code = UPLO(*uplo); |
| if(code>=2 || func[code]==0) |
| return 0; |
| |
| func[code](*n, ap, x_cpy, alpha); |
| |
| if(x_cpy!=x) delete[] x_cpy; |
| |
| return 1; |
| } |
| |
| /** ZHPR2 performs the hermitian rank 2 operation |
| * |
| * A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A, |
| * |
| * where alpha is a scalar, x and y are n element vectors and A is an |
| * n by n hermitian matrix, supplied in packed form. |
| */ |
| int EIGEN_BLAS_FUNC(hpr2)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pap) |
| { |
| typedef void (*functype)(int, Scalar*, const Scalar*, const Scalar*, Scalar); |
| static functype func[2]; |
| |
| static bool init = false; |
| if(!init) |
| { |
| for(int k=0; k<2; ++k) |
| func[k] = 0; |
| |
| func[UP] = (internal::packed_rank2_update_selector<Scalar,int,Upper>::run); |
| func[LO] = (internal::packed_rank2_update_selector<Scalar,int,Lower>::run); |
| |
| init = true; |
| } |
| |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| Scalar* y = reinterpret_cast<Scalar*>(py); |
| Scalar* ap = reinterpret_cast<Scalar*>(pap); |
| Scalar alpha = *reinterpret_cast<Scalar*>(palpha); |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(*n<0) info = 2; |
| else if(*incx==0) info = 5; |
| else if(*incy==0) info = 7; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"HPR2 ",&info,6); |
| |
| if(alpha==Scalar(0)) |
| return 1; |
| |
| Scalar* x_cpy = get_compact_vector(x, *n, *incx); |
| Scalar* y_cpy = get_compact_vector(y, *n, *incy); |
| |
| int code = UPLO(*uplo); |
| if(code>=2 || func[code]==0) |
| return 0; |
| |
| func[code](*n, ap, x_cpy, y_cpy, alpha); |
| |
| if(x_cpy!=x) delete[] x_cpy; |
| if(y_cpy!=y) delete[] y_cpy; |
| |
| return 1; |
| } |
| |
| /** ZHER performs the hermitian rank 1 operation |
| * |
| * A := alpha*x*conjg( x' ) + A, |
| * |
| * where alpha is a real scalar, x is an n element vector and A is an |
| * n by n hermitian matrix. |
| */ |
| int EIGEN_BLAS_FUNC(her)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *pa, int *lda) |
| { |
| typedef void (*functype)(int, Scalar*, int, const Scalar*, const Scalar*, const Scalar&); |
| static functype func[2]; |
| |
| static bool init = false; |
| if(!init) |
| { |
| for(int k=0; k<2; ++k) |
| func[k] = 0; |
| |
| func[UP] = (selfadjoint_rank1_update<Scalar,int,ColMajor,Upper,false,Conj>::run); |
| func[LO] = (selfadjoint_rank1_update<Scalar,int,ColMajor,Lower,false,Conj>::run); |
| |
| init = true; |
| } |
| |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| Scalar* a = reinterpret_cast<Scalar*>(pa); |
| RealScalar alpha = *reinterpret_cast<RealScalar*>(palpha); |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(*n<0) info = 2; |
| else if(*incx==0) info = 5; |
| else if(*lda<std::max(1,*n)) info = 7; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"HER ",&info,6); |
| |
| if(alpha==RealScalar(0)) |
| return 1; |
| |
| Scalar* x_cpy = get_compact_vector(x, *n, *incx); |
| |
| int code = UPLO(*uplo); |
| if(code>=2 || func[code]==0) |
| return 0; |
| |
| func[code](*n, a, *lda, x_cpy, x_cpy, alpha); |
| |
| matrix(a,*n,*n,*lda).diagonal().imag().setZero(); |
| |
| if(x_cpy!=x) delete[] x_cpy; |
| |
| return 1; |
| } |
| |
| /** ZHER2 performs the hermitian rank 2 operation |
| * |
| * A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A, |
| * |
| * where alpha is a scalar, x and y are n element vectors and A is an n |
| * by n hermitian matrix. |
| */ |
| int EIGEN_BLAS_FUNC(her2)(char *uplo, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pa, int *lda) |
| { |
| typedef void (*functype)(int, Scalar*, int, const Scalar*, const Scalar*, Scalar); |
| static functype func[2]; |
| |
| static bool init = false; |
| if(!init) |
| { |
| for(int k=0; k<2; ++k) |
| func[k] = 0; |
| |
| func[UP] = (internal::rank2_update_selector<Scalar,int,Upper>::run); |
| func[LO] = (internal::rank2_update_selector<Scalar,int,Lower>::run); |
| |
| init = true; |
| } |
| |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| Scalar* y = reinterpret_cast<Scalar*>(py); |
| Scalar* a = reinterpret_cast<Scalar*>(pa); |
| Scalar alpha = *reinterpret_cast<Scalar*>(palpha); |
| |
| int info = 0; |
| if(UPLO(*uplo)==INVALID) info = 1; |
| else if(*n<0) info = 2; |
| else if(*incx==0) info = 5; |
| else if(*incy==0) info = 7; |
| else if(*lda<std::max(1,*n)) info = 9; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"HER2 ",&info,6); |
| |
| if(alpha==Scalar(0)) |
| return 1; |
| |
| Scalar* x_cpy = get_compact_vector(x, *n, *incx); |
| Scalar* y_cpy = get_compact_vector(y, *n, *incy); |
| |
| int code = UPLO(*uplo); |
| if(code>=2 || func[code]==0) |
| return 0; |
| |
| func[code](*n, a, *lda, x_cpy, y_cpy, alpha); |
| |
| matrix(a,*n,*n,*lda).diagonal().imag().setZero(); |
| |
| if(x_cpy!=x) delete[] x_cpy; |
| if(y_cpy!=y) delete[] y_cpy; |
| |
| return 1; |
| } |
| |
| /** ZGERU performs the rank 1 operation |
| * |
| * A := alpha*x*y' + A, |
| * |
| * where alpha is a scalar, x is an m element vector, y is an n element |
| * vector and A is an m by n matrix. |
| */ |
| int EIGEN_BLAS_FUNC(geru)(int *m, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pa, int *lda) |
| { |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| Scalar* y = reinterpret_cast<Scalar*>(py); |
| Scalar* a = reinterpret_cast<Scalar*>(pa); |
| Scalar alpha = *reinterpret_cast<Scalar*>(palpha); |
| |
| int info = 0; |
| if(*m<0) info = 1; |
| else if(*n<0) info = 2; |
| else if(*incx==0) info = 5; |
| else if(*incy==0) info = 7; |
| else if(*lda<std::max(1,*m)) info = 9; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"GERU ",&info,6); |
| |
| if(alpha==Scalar(0)) |
| return 1; |
| |
| Scalar* x_cpy = get_compact_vector(x,*m,*incx); |
| Scalar* y_cpy = get_compact_vector(y,*n,*incy); |
| |
| internal::general_rank1_update<Scalar,int,ColMajor,false,false>::run(*m, *n, a, *lda, x_cpy, y_cpy, alpha); |
| |
| if(x_cpy!=x) delete[] x_cpy; |
| if(y_cpy!=y) delete[] y_cpy; |
| |
| return 1; |
| } |
| |
| /** ZGERC performs the rank 1 operation |
| * |
| * A := alpha*x*conjg( y' ) + A, |
| * |
| * where alpha is a scalar, x is an m element vector, y is an n element |
| * vector and A is an m by n matrix. |
| */ |
| int EIGEN_BLAS_FUNC(gerc)(int *m, int *n, RealScalar *palpha, RealScalar *px, int *incx, RealScalar *py, int *incy, RealScalar *pa, int *lda) |
| { |
| Scalar* x = reinterpret_cast<Scalar*>(px); |
| Scalar* y = reinterpret_cast<Scalar*>(py); |
| Scalar* a = reinterpret_cast<Scalar*>(pa); |
| Scalar alpha = *reinterpret_cast<Scalar*>(palpha); |
| |
| int info = 0; |
| if(*m<0) info = 1; |
| else if(*n<0) info = 2; |
| else if(*incx==0) info = 5; |
| else if(*incy==0) info = 7; |
| else if(*lda<std::max(1,*m)) info = 9; |
| if(info) |
| return xerbla_(SCALAR_SUFFIX_UP"GERC ",&info,6); |
| |
| if(alpha==Scalar(0)) |
| return 1; |
| |
| Scalar* x_cpy = get_compact_vector(x,*m,*incx); |
| Scalar* y_cpy = get_compact_vector(y,*n,*incy); |
| |
| internal::general_rank1_update<Scalar,int,ColMajor,false,Conj>::run(*m, *n, a, *lda, x_cpy, y_cpy, alpha); |
| |
| if(x_cpy!=x) delete[] x_cpy; |
| if(y_cpy!=y) delete[] y_cpy; |
| |
| return 1; |
| } |
